Least Common Multiple (LCM) of 82 and 162
The least common multiple (LCM) of 82 and 162 is 6642.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 82 and 162?
First, calculate the GCD of 82 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 162 = 0 remainder 82 |
| 2 | 162 ÷ 82 = 1 remainder 80 |
| 3 | 82 ÷ 80 = 1 remainder 2 |
| 4 | 80 ÷ 2 = 40 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 90 | 2790 |
| 177 and 173 | 30621 |
| 190 and 54 | 5130 |
| 53 and 133 | 7049 |
| 134 and 92 | 6164 |